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Finding the Third Proportional to 421,448 and 914,320

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Solution

The third proportional to 421,448 and 914,320 is: 1,983,592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,448 : 914,320 = 914,320 : x
  2. Step 2: Convert to fraction form
    421,448/914,320 = 914,320/x
  3. Step 3: Cross multiply
    421,448x = 914,320 × 914,320
  4. Step 4: Simplify right side
    421,448x = 835,981,062,400
  5. Step 5: Solve for x
    x = 835,981,062,400/421,448
  6. Step 6: Final answer
    x = 1,983,592.43

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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.