A .338 Lapua Magnum falls way short at half the distance
http://www.cpcartridge.com/338lapua-B.htm
Although others have a very high regard for it's possible abilities...
http://www.snipercentral.com/338.htm
And a 10/110 [or similar] is not inexpensive
jus sayin'....
A 700 SPS is very commonly used in SWAT
http://www.snipercentral.com/remspsv.htm
Still, a 1000 yd shot, consistently placed well, is a feat not
mastered by many......and it takes a weapon with expensive
'skills' of it's own to do so, even for the masters.