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Finding the Third Proportional to 605,657.25 and 1,092,912.75

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Solution

The third proportional to 605,657.25 and 1,092,912.75 is: 1,972,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,657.25 : 1,092,912.75 = 1,092,912.75 : x
  2. Step 2: Convert to fraction form
    605,657.25/1,092,912.75 = 1,092,912.75/x
  3. Step 3: Cross multiply
    605,657.25x = 1,092,912.75 × 1,092,912.75
  4. Step 4: Simplify right side
    605,657.25x = 1,194,458,279,112.56
  5. Step 5: Solve for x
    x = 1,194,458,279,112.56/605,657.25
  6. Step 6: Final answer
    x = 1,972,168.71

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.