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Finding the Third Proportional to 418,016 and 914,560

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Solution

The third proportional to 418,016 and 914,560 is: 2,000,928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,016 : 914,560 = 914,560 : x
  2. Step 2: Convert to fraction form
    418,016/914,560 = 914,560/x
  3. Step 3: Cross multiply
    418,016x = 914,560 × 914,560
  4. Step 4: Simplify right side
    418,016x = 836,419,993,600
  5. Step 5: Solve for x
    x = 836,419,993,600/418,016
  6. Step 6: Final answer
    x = 2,000,928.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.