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Finding the Third Proportional to 698,801 and 1,497,249

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Solution

The third proportional to 698,801 and 1,497,249 is: 3,208,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,801 : 1,497,249 = 1,497,249 : x
  2. Step 2: Convert to fraction form
    698,801/1,497,249 = 1,497,249/x
  3. Step 3: Cross multiply
    698,801x = 1,497,249 × 1,497,249
  4. Step 4: Simplify right side
    698,801x = 2,241,754,568,001
  5. Step 5: Solve for x
    x = 2,241,754,568,001/698,801
  6. Step 6: Final answer
    x = 3,208,001.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.