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Finding the Third Proportional to 824,251 and 1,757,375

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Solution

The third proportional to 824,251 and 1,757,375 is: 3,746,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,251 : 1,757,375 = 1,757,375 : x
  2. Step 2: Convert to fraction form
    824,251/1,757,375 = 1,757,375/x
  3. Step 3: Cross multiply
    824,251x = 1,757,375 × 1,757,375
  4. Step 4: Simplify right side
    824,251x = 3,088,366,890,625
  5. Step 5: Solve for x
    x = 3,088,366,890,625/824,251
  6. Step 6: Final answer
    x = 3,746,876.73

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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.