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Finding the Third Proportional to 542,438 and 1,134,448

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Solution

The third proportional to 542,438 and 1,134,448 is: 2,372,570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,438 : 1,134,448 = 1,134,448 : x
  2. Step 2: Convert to fraction form
    542,438/1,134,448 = 1,134,448/x
  3. Step 3: Cross multiply
    542,438x = 1,134,448 × 1,134,448
  4. Step 4: Simplify right side
    542,438x = 1,286,972,264,704
  5. Step 5: Solve for x
    x = 1,286,972,264,704/542,438
  6. Step 6: Final answer
    x = 2,372,570.26

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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.