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Finding the Third Proportional to 416,394 and 914,616

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Solution

The third proportional to 416,394 and 914,616 is: 2,008,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,394 : 914,616 = 914,616 : x
  2. Step 2: Convert to fraction form
    416,394/914,616 = 914,616/x
  3. Step 3: Cross multiply
    416,394x = 914,616 × 914,616
  4. Step 4: Simplify right side
    416,394x = 836,522,427,456
  5. Step 5: Solve for x
    x = 836,522,427,456/416,394
  6. Step 6: Final answer
    x = 2,008,968.49

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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.