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Finding the Third Proportional to 534,843 and 1,138,374

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Solution

The third proportional to 534,843 and 1,138,374 is: 2,422,945.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,843 : 1,138,374 = 1,138,374 : x
  2. Step 2: Convert to fraction form
    534,843/1,138,374 = 1,138,374/x
  3. Step 3: Cross multiply
    534,843x = 1,138,374 × 1,138,374
  4. Step 4: Simplify right side
    534,843x = 1,295,895,363,876
  5. Step 5: Solve for x
    x = 1,295,895,363,876/534,843
  6. Step 6: Final answer
    x = 2,422,945.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.