How many colonists per square mile lived across most of the appalachtion mountain region?

There was about 47 colonists every square mile lived across most of the Appalachian mountain region. The Appalachian Mountains cover an area of 737,000 square miles but colonists lived east of the Appalachians because this is the only land England had at the time but they have acquired the land west of the Appalachians when they won the 7 Years' War, so colonists began transferring there. The Proclamation of 1763 created by King George III as a solution for the tensions between the colonists and the Natives. This Proclamation stated that Indians stays in west and colonists stay east of the Appalachians. This made the colonists angered because they can't even settle there because of war in the region. And even worse, they had been paying taxes to support this war, basically paying for the region that they are outlawed to live in.