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Finding the Third Proportional to 538,387 and 1,165,934

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Solution

The third proportional to 538,387 and 1,165,934 is: 2,524,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,387 : 1,165,934 = 1,165,934 : x
  2. Step 2: Convert to fraction form
    538,387/1,165,934 = 1,165,934/x
  3. Step 3: Cross multiply
    538,387x = 1,165,934 × 1,165,934
  4. Step 4: Simplify right side
    538,387x = 1,359,402,092,356
  5. Step 5: Solve for x
    x = 1,359,402,092,356/538,387
  6. Step 6: Final answer
    x = 2,524,953.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.