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Finding the Third Proportional to 542,440 and 1,134,452

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Solution

The third proportional to 542,440 and 1,134,452 is: 2,372,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,440 : 1,134,452 = 1,134,452 : x
  2. Step 2: Convert to fraction form
    542,440/1,134,452 = 1,134,452/x
  3. Step 3: Cross multiply
    542,440x = 1,134,452 × 1,134,452
  4. Step 4: Simplify right side
    542,440x = 1,286,981,340,304
  5. Step 5: Solve for x
    x = 1,286,981,340,304/542,440
  6. Step 6: Final answer
    x = 2,372,578.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.