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Finding the Third Proportional to 394,158 and 861,919

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Solution

The third proportional to 394,158 and 861,919 is: 1,884,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,158 : 861,919 = 861,919 : x
  2. Step 2: Convert to fraction form
    394,158/861,919 = 861,919/x
  3. Step 3: Cross multiply
    394,158x = 861,919 × 861,919
  4. Step 4: Simplify right side
    394,158x = 742,904,362,561
  5. Step 5: Solve for x
    x = 742,904,362,561/394,158
  6. Step 6: Final answer
    x = 1,884,788.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.