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Finding the Third Proportional to 669,298 and 1,383,601

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Solution

The third proportional to 669,298 and 1,383,601 is: 2,860,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,298 : 1,383,601 = 1,383,601 : x
  2. Step 2: Convert to fraction form
    669,298/1,383,601 = 1,383,601/x
  3. Step 3: Cross multiply
    669,298x = 1,383,601 × 1,383,601
  4. Step 4: Simplify right side
    669,298x = 1,914,351,727,201
  5. Step 5: Solve for x
    x = 1,914,351,727,201/669,298
  6. Step 6: Final answer
    x = 2,860,238.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.