Contrary to the premise, there are no major mountain ranges in the eastern U.S. proper. The region's topography is predominantly:
The Appalachian Mountains form the traditional boundary between the eastern and central United States, running from Alabama to Maine. Only in the far northeastern U.S. (Maine, New Hampshire, Vermont, parts of NY) do the Appalachians extend into what's considered the "eastern" region, creating the White Mountains, Green Mountains, and Maine's North Woods.
Thus, the Appalachians are the eastern edge of the central U.S., not a range within the eastern U.S., except at the northeastern terminus.