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Finding the Third Proportional to 819,169.91 and 1,228,754.97

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Solution

The third proportional to 819,169.91 and 1,228,754.97 is: 1,843,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,169.91 : 1,228,754.97 = 1,228,754.97 : x
  2. Step 2: Convert to fraction form
    819,169.91/1,228,754.97 = 1,228,754.97/x
  3. Step 3: Cross multiply
    819,169.91x = 1,228,754.97 × 1,228,754.97
  4. Step 4: Simplify right side
    819,169.91x = 1,509,838,773,227.81
  5. Step 5: Solve for x
    x = 1,509,838,773,227.81/819,169.91
  6. Step 6: Final answer
    x = 1,843,132.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.