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Finding the Third Proportional to 551,559 and 1,138,542

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Solution

The third proportional to 551,559 and 1,138,542 is: 2,350,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,559 : 1,138,542 = 1,138,542 : x
  2. Step 2: Convert to fraction form
    551,559/1,138,542 = 1,138,542/x
  3. Step 3: Cross multiply
    551,559x = 1,138,542 × 1,138,542
  4. Step 4: Simplify right side
    551,559x = 1,296,277,885,764
  5. Step 5: Solve for x
    x = 1,296,277,885,764/551,559
  6. Step 6: Final answer
    x = 2,350,207.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.