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Finding the Third Proportional to 548,418.38 and 1,222,867.13

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Solution

The third proportional to 548,418.38 and 1,222,867.13 is: 2,726,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,418.38 : 1,222,867.13 = 1,222,867.13 : x
  2. Step 2: Convert to fraction form
    548,418.38/1,222,867.13 = 1,222,867.13/x
  3. Step 3: Cross multiply
    548,418.38x = 1,222,867.13 × 1,222,867.13
  4. Step 4: Simplify right side
    548,418.38x = 1,495,404,005,405.77
  5. Step 5: Solve for x
    x = 1,495,404,005,405.77/548,418.38
  6. Step 6: Final answer
    x = 2,726,757.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.