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Finding the Third Proportional to 389,177.16 and 854,974.41

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Solution

The third proportional to 389,177.16 and 854,974.41 is: 1,878,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,177.16 : 854,974.41 = 854,974.41 : x
  2. Step 2: Convert to fraction form
    389,177.16/854,974.41 = 854,974.41/x
  3. Step 3: Cross multiply
    389,177.16x = 854,974.41 × 854,974.41
  4. Step 4: Simplify right side
    389,177.16x = 730,981,235,342.54
  5. Step 5: Solve for x
    x = 730,981,235,342.54/389,177.16
  6. Step 6: Final answer
    x = 1,878,273.75

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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.