This problem can be directly solved by ratio and proportion.
We know that there are 646,449 people for every 68.3 square miles, so:
646,449 people : 68.3 square miles = X : 570,374 square miles
We know that the : symbol signifies division therefore,
646,449 / 68.3 = X / 570,374
X = 5,398,502,224 people