1. **State the problem:** Multiply 7,601 by 46. 2. **Multiply:** $$7,601 \times 46$$ 3. **Calculate step-by-step:** Multiply 7,601 by 40: $$7,601 \times 40 = 304,040$$ Multiply 7,601 by 6: $$7,601 \times 6 = 45,606$$ 4. **Add the two results to get the final product:** $$304,040 + 45,606 = 349,646$$ **Final answer:** $$7,601 \times 46 = 349,646$$