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Finding the Third Proportional to 493,130.53 and 1,060,003.97

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Solution

The third proportional to 493,130.53 and 1,060,003.97 is: 2,278,521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,130.53 : 1,060,003.97 = 1,060,003.97 : x
  2. Step 2: Convert to fraction form
    493,130.53/1,060,003.97 = 1,060,003.97/x
  3. Step 3: Cross multiply
    493,130.53x = 1,060,003.97 × 1,060,003.97
  4. Step 4: Simplify right side
    493,130.53x = 1,123,608,413,765.75
  5. Step 5: Solve for x
    x = 1,123,608,413,765.75/493,130.53
  6. Step 6: Final answer
    x = 2,278,521.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.