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Finding the Third Proportional to 627,728 and 1,372,016

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Solution

The third proportional to 627,728 and 1,372,016 is: 2,998,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,728 : 1,372,016 = 1,372,016 : x
  2. Step 2: Convert to fraction form
    627,728/1,372,016 = 1,372,016/x
  3. Step 3: Cross multiply
    627,728x = 1,372,016 × 1,372,016
  4. Step 4: Simplify right side
    627,728x = 1,882,427,904,256
  5. Step 5: Solve for x
    x = 1,882,427,904,256/627,728
  6. Step 6: Final answer
    x = 2,998,795.50

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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.