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Finding the Third Proportional to 1,197,528 and 2,581,680

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Solution

The third proportional to 1,197,528 and 2,581,680 is: 5,565,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,528 : 2,581,680 = 2,581,680 : x
  2. Step 2: Convert to fraction form
    1,197,528/2,581,680 = 2,581,680/x
  3. Step 3: Cross multiply
    1,197,528x = 2,581,680 × 2,581,680
  4. Step 4: Simplify right side
    1,197,528x = 6,665,071,622,400
  5. Step 5: Solve for x
    x = 6,665,071,622,400/1,197,528
  6. Step 6: Final answer
    x = 5,565,691.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.