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Finding the Third Proportional to 800,223 and 1,238,676

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Solution

The third proportional to 800,223 and 1,238,676 is: 1,917,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,223 : 1,238,676 = 1,238,676 : x
  2. Step 2: Convert to fraction form
    800,223/1,238,676 = 1,238,676/x
  3. Step 3: Cross multiply
    800,223x = 1,238,676 × 1,238,676
  4. Step 4: Simplify right side
    800,223x = 1,534,318,232,976
  5. Step 5: Solve for x
    x = 1,534,318,232,976/800,223
  6. Step 6: Final answer
    x = 1,917,363.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.