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Finding the Third Proportional to 393,591 and 852,414

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Solution

The third proportional to 393,591 and 852,414 is: 1,846,103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,591 : 852,414 = 852,414 : x
  2. Step 2: Convert to fraction form
    393,591/852,414 = 852,414/x
  3. Step 3: Cross multiply
    393,591x = 852,414 × 852,414
  4. Step 4: Simplify right side
    393,591x = 726,609,627,396
  5. Step 5: Solve for x
    x = 726,609,627,396/393,591
  6. Step 6: Final answer
    x = 1,846,103.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.