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Finding the Third Proportional to 648,885 and 867,981

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Solution

The third proportional to 648,885 and 867,981 is: 1,161,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,885 : 867,981 = 867,981 : x
  2. Step 2: Convert to fraction form
    648,885/867,981 = 867,981/x
  3. Step 3: Cross multiply
    648,885x = 867,981 × 867,981
  4. Step 4: Simplify right side
    648,885x = 753,391,016,361
  5. Step 5: Solve for x
    x = 753,391,016,361/648,885
  6. Step 6: Final answer
    x = 1,161,054.76

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.