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Finding the Third Proportional to 655,456 and 996,866

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Solution

The third proportional to 655,456 and 996,866 is: 1,516,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,456 : 996,866 = 996,866 : x
  2. Step 2: Convert to fraction form
    655,456/996,866 = 996,866/x
  3. Step 3: Cross multiply
    655,456x = 996,866 × 996,866
  4. Step 4: Simplify right side
    655,456x = 993,741,821,956
  5. Step 5: Solve for x
    x = 993,741,821,956/655,456
  6. Step 6: Final answer
    x = 1,516,107.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.