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Finding the Third Proportional to 625,684 and 1,375,784

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Solution

The third proportional to 625,684 and 1,375,784 is: 3,025,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,684 : 1,375,784 = 1,375,784 : x
  2. Step 2: Convert to fraction form
    625,684/1,375,784 = 1,375,784/x
  3. Step 3: Cross multiply
    625,684x = 1,375,784 × 1,375,784
  4. Step 4: Simplify right side
    625,684x = 1,892,781,614,656
  5. Step 5: Solve for x
    x = 1,892,781,614,656/625,684
  6. Step 6: Final answer
    x = 3,025,139.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.