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Finding the Third Proportional to 817,276.50 and 1,781,691

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Solution

The third proportional to 817,276.50 and 1,781,691 is: 3,884,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,276.50 : 1,781,691 = 1,781,691 : x
  2. Step 2: Convert to fraction form
    817,276.50/1,781,691 = 1,781,691/x
  3. Step 3: Cross multiply
    817,276.50x = 1,781,691 × 1,781,691
  4. Step 4: Simplify right side
    817,276.50x = 3,174,422,819,481
  5. Step 5: Solve for x
    x = 3,174,422,819,481/817,276.50
  6. Step 6: Final answer
    x = 3,884,147.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.