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Finding the Third Proportional to 617,112 and 932,247

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Solution

The third proportional to 617,112 and 932,247 is: 1,408,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,112 : 932,247 = 932,247 : x
  2. Step 2: Convert to fraction form
    617,112/932,247 = 932,247/x
  3. Step 3: Cross multiply
    617,112x = 932,247 × 932,247
  4. Step 4: Simplify right side
    617,112x = 869,084,469,009
  5. Step 5: Solve for x
    x = 869,084,469,009/617,112
  6. Step 6: Final answer
    x = 1,408,309.14

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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.