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Finding the Third Proportional to 766,243.55 and 1,681,939.69

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Solution

The third proportional to 766,243.55 and 1,681,939.69 is: 3,691,934.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,243.55 : 1,681,939.69 = 1,681,939.69 : x
  2. Step 2: Convert to fraction form
    766,243.55/1,681,939.69 = 1,681,939.69/x
  3. Step 3: Cross multiply
    766,243.55x = 1,681,939.69 × 1,681,939.69
  4. Step 4: Simplify right side
    766,243.55x = 2,828,921,112,387.60
  5. Step 5: Solve for x
    x = 2,828,921,112,387.60/766,243.55
  6. Step 6: Final answer
    x = 3,691,934.66

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