Final answer:
The state with the Columbia River on its border with Washington and home to other major rivers such as the Deschutes, Williamette, John Day, and Snake River is Oregon.
Step-by-step explanation:
The state you are asking about is Oregon. The Columbia River forms much of the border between Oregon and Washington and is known for its significant role in hydroelectric power production, thanks to installations like the Grand Coulee Dam. In addition to the mighty Columbia River, Oregon is home to the Deschutes River, Williamette River, John Day River, and the Snake River, which are major rivers draining from the United States. While the Colorado River is indeed an extensively regulated and significant water source, it is not the river that marks the border between Oregon and Washington or drains from Oregon as the other mentioned rivers do.