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Finding the Third Proportional to 815,866 and 1,767,325

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Solution

The third proportional to 815,866 and 1,767,325 is: 3,828,370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,866 : 1,767,325 = 1,767,325 : x
  2. Step 2: Convert to fraction form
    815,866/1,767,325 = 1,767,325/x
  3. Step 3: Cross multiply
    815,866x = 1,767,325 × 1,767,325
  4. Step 4: Simplify right side
    815,866x = 3,123,437,655,625
  5. Step 5: Solve for x
    x = 3,123,437,655,625/815,866
  6. Step 6: Final answer
    x = 3,828,370.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.