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Finding the Third Proportional to 392,884 and 843,116

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Solution

The third proportional to 392,884 and 843,116 is: 1,809,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,884 : 843,116 = 843,116 : x
  2. Step 2: Convert to fraction form
    392,884/843,116 = 843,116/x
  3. Step 3: Cross multiply
    392,884x = 843,116 × 843,116
  4. Step 4: Simplify right side
    392,884x = 710,844,589,456
  5. Step 5: Solve for x
    x = 710,844,589,456/392,884
  6. Step 6: Final answer
    x = 1,809,298.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.