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Finding the Third Proportional to 807,744 and 1,267,218

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Solution

The third proportional to 807,744 and 1,267,218 is: 1,988,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,744 : 1,267,218 = 1,267,218 : x
  2. Step 2: Convert to fraction form
    807,744/1,267,218 = 1,267,218/x
  3. Step 3: Cross multiply
    807,744x = 1,267,218 × 1,267,218
  4. Step 4: Simplify right side
    807,744x = 1,605,841,459,524
  5. Step 5: Solve for x
    x = 1,605,841,459,524/807,744
  6. Step 6: Final answer
    x = 1,988,057.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.