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Finding the Third Proportional to 519,274 and 801,839

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Solution

The third proportional to 519,274 and 801,839 is: 1,238,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,274 : 801,839 = 801,839 : x
  2. Step 2: Convert to fraction form
    519,274/801,839 = 801,839/x
  3. Step 3: Cross multiply
    519,274x = 801,839 × 801,839
  4. Step 4: Simplify right side
    519,274x = 642,945,781,921
  5. Step 5: Solve for x
    x = 642,945,781,921/519,274
  6. Step 6: Final answer
    x = 1,238,162.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.