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Finding the Third Proportional to 766,131.75 and 1,681,713.56

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Solution

The third proportional to 766,131.75 and 1,681,713.56 is: 3,691,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,131.75 : 1,681,713.56 = 1,681,713.56 : x
  2. Step 2: Convert to fraction form
    766,131.75/1,681,713.56 = 1,681,713.56/x
  3. Step 3: Cross multiply
    766,131.75x = 1,681,713.56 × 1,681,713.56
  4. Step 4: Simplify right side
    766,131.75x = 2,828,160,506,296.44
  5. Step 5: Solve for x
    x = 2,828,160,506,296.44/766,131.75
  6. Step 6: Final answer
    x = 3,691,480.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.