Quite frankly, the mathematical part of bullet dispersion is all theory. There are far too many variables involved to allow for a 1" group @ 100 yds to equate to a 6" group @ 600 yds.
Bullet drop rarely matches the drop charts for many different reasons. The effect of wind on bullet flight is even more difficult calculate.
The easiest way to answer your own question is to just post a target at 600 yds and see what the rifle can do. If you can't EASILY put almost every bullet in a target as small as a goat head, then you'd be unlikely to do it under field conditions.
As you shoot at longer distance, variables enter the equation that most of us never have contended with. For example, the Coriolis effect which for North America is a deviation to the right caused by the earth rotation. To make matters worse, rifling rotates to the right so the bullet starts moving to the right. So 2 separate effects cause a right movement deviation. At 100 yards, these effects are relatively insignificant. At 1000 yards they are significnt and at 2000 yards they are almost ridiculous. Other factors include atmospheric pressure, temperature, wind and others. Moral here -- at extreme distances everything becomes an issue.