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Finding the Third Proportional to 416,396 and 914,620

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Solution

The third proportional to 416,396 and 914,620 is: 2,008,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,396 : 914,620 = 914,620 : x
  2. Step 2: Convert to fraction form
    416,396/914,620 = 914,620/x
  3. Step 3: Cross multiply
    416,396x = 914,620 × 914,620
  4. Step 4: Simplify right side
    416,396x = 836,529,744,400
  5. Step 5: Solve for x
    x = 836,529,744,400/416,396
  6. Step 6: Final answer
    x = 2,008,976.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.