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Finding the Third Proportional to 800,234 and 1,238,689

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Solution

The third proportional to 800,234 and 1,238,689 is: 1,917,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,234 : 1,238,689 = 1,238,689 : x
  2. Step 2: Convert to fraction form
    800,234/1,238,689 = 1,238,689/x
  3. Step 3: Cross multiply
    800,234x = 1,238,689 × 1,238,689
  4. Step 4: Simplify right side
    800,234x = 1,534,350,438,721
  5. Step 5: Solve for x
    x = 1,534,350,438,721/800,234
  6. Step 6: Final answer
    x = 1,917,377.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.