1. The problem asks us to calculate the sum of two products: $(46 \times 98) + (32 \times 61)$.\n\n2. The formula used here is the distributive property of multiplication over addition, but since we have two separate products, we calculate each product first and then add the results.\n\n3. Calculate each product:\n\n$46 \times 98 = 4508$\n\n$32 \times 61 = 1952$\n\n4. Now add the two products:\n\n$4508 + 1952 = 6460$\n\n5. Therefore, the final answer is $6460$.