1. Let's state the problem: Calculate the product of 7,601 and 46. 2. We multiply the two numbers: $$7,601 \times 46$$ 3. First, multiply 7,601 by 40: $$7,601 \times 40 = 304,040$$ 4. Then, multiply 7,601 by 6: $$7,601 \times 6 = 45,606$$ 5. Now sum both partial products: $$304,040 + 45,606 = 349,646$$ 6. Therefore, the product is: $$\boxed{349,646}$$