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Finding the Third Proportional to 394,863 and 852,771

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Solution

The third proportional to 394,863 and 852,771 is: 1,841,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,863 : 852,771 = 852,771 : x
  2. Step 2: Convert to fraction form
    394,863/852,771 = 852,771/x
  3. Step 3: Cross multiply
    394,863x = 852,771 × 852,771
  4. Step 4: Simplify right side
    394,863x = 727,218,378,441
  5. Step 5: Solve for x
    x = 727,218,378,441/394,863
  6. Step 6: Final answer
    x = 1,841,697.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.