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Finding the Third Proportional to 542,997 and 1,170,126

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Solution

The third proportional to 542,997 and 1,170,126 is: 2,521,551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,997 : 1,170,126 = 1,170,126 : x
  2. Step 2: Convert to fraction form
    542,997/1,170,126 = 1,170,126/x
  3. Step 3: Cross multiply
    542,997x = 1,170,126 × 1,170,126
  4. Step 4: Simplify right side
    542,997x = 1,369,194,855,876
  5. Step 5: Solve for x
    x = 1,369,194,855,876/542,997
  6. Step 6: Final answer
    x = 2,521,551.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.