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Finding the Third Proportional to 542,678 and 1,157,404

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Solution

The third proportional to 542,678 and 1,157,404 is: 2,468,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,678 : 1,157,404 = 1,157,404 : x
  2. Step 2: Convert to fraction form
    542,678/1,157,404 = 1,157,404/x
  3. Step 3: Cross multiply
    542,678x = 1,157,404 × 1,157,404
  4. Step 4: Simplify right side
    542,678x = 1,339,584,019,216
  5. Step 5: Solve for x
    x = 1,339,584,019,216/542,678
  6. Step 6: Final answer
    x = 2,468,469.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.