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Finding the Third Proportional to 811,272.38 and 1,731,148.88

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Solution

The third proportional to 811,272.38 and 1,731,148.88 is: 3,694,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,272.38 : 1,731,148.88 = 1,731,148.88 : x
  2. Step 2: Convert to fraction form
    811,272.38/1,731,148.88 = 1,731,148.88/x
  3. Step 3: Cross multiply
    811,272.38x = 1,731,148.88 × 1,731,148.88
  4. Step 4: Simplify right side
    811,272.38x = 2,996,876,427,413.77
  5. Step 5: Solve for x
    x = 2,996,876,427,413.77/811,272.38
  6. Step 6: Final answer
    x = 3,694,044.71

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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.