1. The problem is to multiply the numbers 612 and 34. 2. The formula for multiplication is straightforward: multiply each digit of the second number by the entire first number and then add the results appropriately. 3. Multiply 612 by 4 (the units digit of 34): $$612 \times 4 = 2448$$ 4. Multiply 612 by 3 (the tens digit of 34), remembering to multiply by 30: $$612 \times 3 = 1836$$ Then multiply by 10: $$1836 \times 10 = 18360$$ 5. Add the two results: $$2448 + 18360 = 20808$$ 6. Therefore, the product of 612 and 34 is: $$\boxed{20808}$$