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Finding the Third Proportional to 394,137 and 861,888

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Solution

The third proportional to 394,137 and 861,888 is: 1,884,753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,137 : 861,888 = 861,888 : x
  2. Step 2: Convert to fraction form
    394,137/861,888 = 861,888/x
  3. Step 3: Cross multiply
    394,137x = 861,888 × 861,888
  4. Step 4: Simplify right side
    394,137x = 742,850,924,544
  5. Step 5: Solve for x
    x = 742,850,924,544/394,137
  6. Step 6: Final answer
    x = 1,884,753.08

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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.