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Finding the Third Proportional to 410,723 and 898,872

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Solution

The third proportional to 410,723 and 898,872 is: 1,967,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,723 : 898,872 = 898,872 : x
  2. Step 2: Convert to fraction form
    410,723/898,872 = 898,872/x
  3. Step 3: Cross multiply
    410,723x = 898,872 × 898,872
  4. Step 4: Simplify right side
    410,723x = 807,970,872,384
  5. Step 5: Solve for x
    x = 807,970,872,384/410,723
  6. Step 6: Final answer
    x = 1,967,191.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.