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Finding the Third Proportional to 539,892 and 838,134

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Solution

The third proportional to 539,892 and 838,134 is: 1,301,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,892 : 838,134 = 838,134 : x
  2. Step 2: Convert to fraction form
    539,892/838,134 = 838,134/x
  3. Step 3: Cross multiply
    539,892x = 838,134 × 838,134
  4. Step 4: Simplify right side
    539,892x = 702,468,601,956
  5. Step 5: Solve for x
    x = 702,468,601,956/539,892
  6. Step 6: Final answer
    x = 1,301,128.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.