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Finding the Third Proportional to 547,610.20 and 1,198,452.38

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Solution

The third proportional to 547,610.20 and 1,198,452.38 is: 2,622,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,610.20 : 1,198,452.38 = 1,198,452.38 : x
  2. Step 2: Convert to fraction form
    547,610.20/1,198,452.38 = 1,198,452.38/x
  3. Step 3: Cross multiply
    547,610.20x = 1,198,452.38 × 1,198,452.38
  4. Step 4: Simplify right side
    547,610.20x = 1,436,288,095,143.14
  5. Step 5: Solve for x
    x = 1,436,288,095,143.14/547,610.20
  6. Step 6: Final answer
    x = 2,622,829.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.