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Finding the Third Proportional to 813,282.75 and 1,766,764.13

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Solution

The third proportional to 813,282.75 and 1,766,764.13 is: 3,838,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,282.75 : 1,766,764.13 = 1,766,764.13 : x
  2. Step 2: Convert to fraction form
    813,282.75/1,766,764.13 = 1,766,764.13/x
  3. Step 3: Cross multiply
    813,282.75x = 1,766,764.13 × 1,766,764.13
  4. Step 4: Simplify right side
    813,282.75x = 3,121,455,473,387.02
  5. Step 5: Solve for x
    x = 3,121,455,473,387.02/813,282.75
  6. Step 6: Final answer
    x = 3,838,093.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.