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Finding the Third Proportional to 417,744 and 883,110

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Solution

The third proportional to 417,744 and 883,110 is: 1,866,892.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,744 : 883,110 = 883,110 : x
  2. Step 2: Convert to fraction form
    417,744/883,110 = 883,110/x
  3. Step 3: Cross multiply
    417,744x = 883,110 × 883,110
  4. Step 4: Simplify right side
    417,744x = 779,883,272,100
  5. Step 5: Solve for x
    x = 779,883,272,100/417,744
  6. Step 6: Final answer
    x = 1,866,892.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.