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Finding the Third Proportional to 814,320 and 1,773,198

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Solution

The third proportional to 814,320 and 1,773,198 is: 3,861,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,320 : 1,773,198 = 1,773,198 : x
  2. Step 2: Convert to fraction form
    814,320/1,773,198 = 1,773,198/x
  3. Step 3: Cross multiply
    814,320x = 1,773,198 × 1,773,198
  4. Step 4: Simplify right side
    814,320x = 3,144,231,147,204
  5. Step 5: Solve for x
    x = 3,144,231,147,204/814,320
  6. Step 6: Final answer
    x = 3,861,173.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.