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Finding the Third Proportional to 682,932 and 1,002,249

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Solution

The third proportional to 682,932 and 1,002,249 is: 1,470,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,932 : 1,002,249 = 1,002,249 : x
  2. Step 2: Convert to fraction form
    682,932/1,002,249 = 1,002,249/x
  3. Step 3: Cross multiply
    682,932x = 1,002,249 × 1,002,249
  4. Step 4: Simplify right side
    682,932x = 1,004,503,058,001
  5. Step 5: Solve for x
    x = 1,004,503,058,001/682,932
  6. Step 6: Final answer
    x = 1,470,868.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.