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Finding the Third Proportional to 542,619 and 1,178,625

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Solution

The third proportional to 542,619 and 1,178,625 is: 2,560,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,619 : 1,178,625 = 1,178,625 : x
  2. Step 2: Convert to fraction form
    542,619/1,178,625 = 1,178,625/x
  3. Step 3: Cross multiply
    542,619x = 1,178,625 × 1,178,625
  4. Step 4: Simplify right side
    542,619x = 1,389,156,890,625
  5. Step 5: Solve for x
    x = 1,389,156,890,625/542,619
  6. Step 6: Final answer
    x = 2,560,096.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.