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Finding the Third Proportional to 812,460.38 and 1,760,393.25

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Solution

The third proportional to 812,460.38 and 1,760,393.25 is: 3,814,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,460.38 : 1,760,393.25 = 1,760,393.25 : x
  2. Step 2: Convert to fraction form
    812,460.38/1,760,393.25 = 1,760,393.25/x
  3. Step 3: Cross multiply
    812,460.38x = 1,760,393.25 × 1,760,393.25
  4. Step 4: Simplify right side
    812,460.38x = 3,098,984,394,645.56
  5. Step 5: Solve for x
    x = 3,098,984,394,645.56/812,460.38
  6. Step 6: Final answer
    x = 3,814,320.66

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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.