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Finding the Third Proportional to 789,534 and 1,661,571

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Solution

The third proportional to 789,534 and 1,661,571 is: 3,496,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,534 : 1,661,571 = 1,661,571 : x
  2. Step 2: Convert to fraction form
    789,534/1,661,571 = 1,661,571/x
  3. Step 3: Cross multiply
    789,534x = 1,661,571 × 1,661,571
  4. Step 4: Simplify right side
    789,534x = 2,760,818,188,041
  5. Step 5: Solve for x
    x = 2,760,818,188,041/789,534
  6. Step 6: Final answer
    x = 3,496,769.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.