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Finding the Third Proportional to 542,882 and 1,135,252

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Solution

The third proportional to 542,882 and 1,135,252 is: 2,373,991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,882 : 1,135,252 = 1,135,252 : x
  2. Step 2: Convert to fraction form
    542,882/1,135,252 = 1,135,252/x
  3. Step 3: Cross multiply
    542,882x = 1,135,252 × 1,135,252
  4. Step 4: Simplify right side
    542,882x = 1,288,797,103,504
  5. Step 5: Solve for x
    x = 1,288,797,103,504/542,882
  6. Step 6: Final answer
    x = 2,373,991.22

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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.