Final answer:
After the Battle of Shiloh, General Grant and his Army of the Tennessee continued to advance against Confederate forces, ultimately forcing them into Vicksburg, Mississippi, which led to a pivotal Union victory with the Siege of Vicksburg.
Step-by-step explanation:
Following the Battle of Shiloh, General Ulysses S. Grant continued his military campaign in the Western Theater of the American Civil War. Using his Army of the Tennessee, Grant endeavored to push back the Confederate forces led by General John C. Pemberton and ultimately pressured them into the strategic city of Vicksburg, Mississippi. Grant's actions after Shiloh were part of a larger Union strategy to secure control of the Mississippi River and divide the Confederacy. The campaign culminated with the Siege of Vicksburg, where the Union forces successfully captured the Confederate stronghold, thereby achieving a critical objective in the Union's Western Campaign and further splitting the Confederate states.