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Finding the Third Proportional to 1,034,389 and 1,614,448

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Solution

The third proportional to 1,034,389 and 1,614,448 is: 2,519,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,389 : 1,614,448 = 1,614,448 : x
  2. Step 2: Convert to fraction form
    1,034,389/1,614,448 = 1,614,448/x
  3. Step 3: Cross multiply
    1,034,389x = 1,614,448 × 1,614,448
  4. Step 4: Simplify right side
    1,034,389x = 2,606,442,344,704
  5. Step 5: Solve for x
    x = 2,606,442,344,704/1,034,389
  6. Step 6: Final answer
    x = 2,519,789.31

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.