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Finding the Third Proportional to 814,951.13 and 1,781,352

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Solution

The third proportional to 814,951.13 and 1,781,352 is: 3,893,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,951.13 : 1,781,352 = 1,781,352 : x
  2. Step 2: Convert to fraction form
    814,951.13/1,781,352 = 1,781,352/x
  3. Step 3: Cross multiply
    814,951.13x = 1,781,352 × 1,781,352
  4. Step 4: Simplify right side
    814,951.13x = 3,173,214,947,904
  5. Step 5: Solve for x
    x = 3,173,214,947,904/814,951.13
  6. Step 6: Final answer
    x = 3,893,748.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.