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Finding the Third Proportional to 516,051 and 781,863

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Solution

The third proportional to 516,051 and 781,863 is: 1,184,591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,051 : 781,863 = 781,863 : x
  2. Step 2: Convert to fraction form
    516,051/781,863 = 781,863/x
  3. Step 3: Cross multiply
    516,051x = 781,863 × 781,863
  4. Step 4: Simplify right side
    516,051x = 611,309,750,769
  5. Step 5: Solve for x
    x = 611,309,750,769/516,051
  6. Step 6: Final answer
    x = 1,184,591.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.