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Finding the Third Proportional to 379,847 and 810,537

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Solution

The third proportional to 379,847 and 810,537 is: 1,729,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,847 : 810,537 = 810,537 : x
  2. Step 2: Convert to fraction form
    379,847/810,537 = 810,537/x
  3. Step 3: Cross multiply
    379,847x = 810,537 × 810,537
  4. Step 4: Simplify right side
    379,847x = 656,970,228,369
  5. Step 5: Solve for x
    x = 656,970,228,369/379,847
  6. Step 6: Final answer
    x = 1,729,565.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.