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Finding the Third Proportional to 499,549.78 and 1,096,650.14

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Solution

The third proportional to 499,549.78 and 1,096,650.14 is: 2,407,450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,549.78 : 1,096,650.14 = 1,096,650.14 : x
  2. Step 2: Convert to fraction form
    499,549.78/1,096,650.14 = 1,096,650.14/x
  3. Step 3: Cross multiply
    499,549.78x = 1,096,650.14 × 1,096,650.14
  4. Step 4: Simplify right side
    499,549.78x = 1,202,641,530,932.83
  5. Step 5: Solve for x
    x = 1,202,641,530,932.83/499,549.78
  6. Step 6: Final answer
    x = 2,407,450.82

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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.