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Finding the Third Proportional to 641,007 and 1,383,561

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Solution

The third proportional to 641,007 and 1,383,561 is: 2,986,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,007 : 1,383,561 = 1,383,561 : x
  2. Step 2: Convert to fraction form
    641,007/1,383,561 = 1,383,561/x
  3. Step 3: Cross multiply
    641,007x = 1,383,561 × 1,383,561
  4. Step 4: Simplify right side
    641,007x = 1,914,241,040,721
  5. Step 5: Solve for x
    x = 1,914,241,040,721/641,007
  6. Step 6: Final answer
    x = 2,986,302.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.