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Finding the Third Proportional to 534,860 and 1,189,311

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Solution

The third proportional to 534,860 and 1,189,311 is: 2,644,543.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,860 : 1,189,311 = 1,189,311 : x
  2. Step 2: Convert to fraction form
    534,860/1,189,311 = 1,189,311/x
  3. Step 3: Cross multiply
    534,860x = 1,189,311 × 1,189,311
  4. Step 4: Simplify right side
    534,860x = 1,414,460,654,721
  5. Step 5: Solve for x
    x = 1,414,460,654,721/534,860
  6. Step 6: Final answer
    x = 2,644,543.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.