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Finding the Third Proportional to 538,119 and 844,227

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Solution

The third proportional to 538,119 and 844,227 is: 1,324,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,119 : 844,227 = 844,227 : x
  2. Step 2: Convert to fraction form
    538,119/844,227 = 844,227/x
  3. Step 3: Cross multiply
    538,119x = 844,227 × 844,227
  4. Step 4: Simplify right side
    538,119x = 712,719,227,529
  5. Step 5: Solve for x
    x = 712,719,227,529/538,119
  6. Step 6: Final answer
    x = 1,324,463.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.