A 1760 yd shot with WWII 30-06 would not be possible. The 152gr bullet has a long nose and a short bearing surface with a flat base. There is no way that thing is going to remain stable while crossing the sonic barrier. Once a bullet tumbles it will be hopelessly inaccurate within a fairly short distance.
This is a myth. Just because a bullet goes through the target almost sideways does not mean it is tumbling. I have watched thousands of bullets go through targets at 1000 to 1200 yards and seen the egg shaped holes they leave. Some think this is because the bullets are tumbling. No so. You don't hit the bull regularly at 1200 yards with a tumbling bullet.
Consider this set of facts:
At long range the rifle has to be aimed quite high to be able to reach the target.
The bullet will arc over and then drop down towards the target.
The slower the bullet or the poorer the shape, the higher the rifle is aimed and the greater the arc of the trajectory.
The bullet is spinning at 150,000 RPM (or more) and is stable, like a gyroscope.
Depending on the RPM (barely enough or excessive) the bullet will either (1) follow the trajectory with the bullet always aimed up in the same way it left the barrel or (2) the bullet will arc over and try to point in the direction is going (down).
This is where it gets interesting. Either scenario puts a sideways bullet through the target. If the bullet is over stable, it stays pointed up, so that as it comes down into the target, it has a sideways slashing effect on the target. The bullet-shaped hole makes people think it is tumbling.
If the bullet is not over stable, it will tip over and point down as the bullet comes down into the target. This means the bullet has changed the direction it is pointing. (Pointing down instead of up.) Anyone who has played with a gyro knows that it changes attitude, it precesses 90 degrees to the change. So the bullet pointed down will yaw sideways and also leave a sideways hole in the target. Also misdiagnosed as a tumbling bullet.
If transonic passage makes a bullet tumble, no 22 Long Rifle or black powder round would be accurate.