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Finding the Third Proportional to 807,711.75 and 1,703,656.13

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Solution

The third proportional to 807,711.75 and 1,703,656.13 is: 3,593,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,711.75 : 1,703,656.13 = 1,703,656.13 : x
  2. Step 2: Convert to fraction form
    807,711.75/1,703,656.13 = 1,703,656.13/x
  3. Step 3: Cross multiply
    807,711.75x = 1,703,656.13 × 1,703,656.13
  4. Step 4: Simplify right side
    807,711.75x = 2,902,444,192,250.02
  5. Step 5: Solve for x
    x = 2,902,444,192,250.02/807,711.75
  6. Step 6: Final answer
    x = 3,593,415.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.