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Finding the Third Proportional to 617,027 and 932,096

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Solution

The third proportional to 617,027 and 932,096 is: 1,408,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,027 : 932,096 = 932,096 : x
  2. Step 2: Convert to fraction form
    617,027/932,096 = 932,096/x
  3. Step 3: Cross multiply
    617,027x = 932,096 × 932,096
  4. Step 4: Simplify right side
    617,027x = 868,802,953,216
  5. Step 5: Solve for x
    x = 868,802,953,216/617,027
  6. Step 6: Final answer
    x = 1,408,046.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.