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Finding the Third Proportional to 865,026 and 1,377,475

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Solution

The third proportional to 865,026 and 1,377,475 is: 2,193,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,026 : 1,377,475 = 1,377,475 : x
  2. Step 2: Convert to fraction form
    865,026/1,377,475 = 1,377,475/x
  3. Step 3: Cross multiply
    865,026x = 1,377,475 × 1,377,475
  4. Step 4: Simplify right side
    865,026x = 1,897,437,375,625
  5. Step 5: Solve for x
    x = 1,897,437,375,625/865,026
  6. Step 6: Final answer
    x = 2,193,503.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.