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Finding the Third Proportional to 587,194.31 and 1,251,298.13

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Solution

The third proportional to 587,194.31 and 1,251,298.13 is: 2,666,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,194.31 : 1,251,298.13 = 1,251,298.13 : x
  2. Step 2: Convert to fraction form
    587,194.31/1,251,298.13 = 1,251,298.13/x
  3. Step 3: Cross multiply
    587,194.31x = 1,251,298.13 × 1,251,298.13
  4. Step 4: Simplify right side
    587,194.31x = 1,565,746,997,628.52
  5. Step 5: Solve for x
    x = 1,565,746,997,628.52/587,194.31
  6. Step 6: Final answer
    x = 2,666,488.70

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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.