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Finding the Third Proportional to 812,463 and 1,760,519

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Solution

The third proportional to 812,463 and 1,760,519 is: 3,814,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,463 : 1,760,519 = 1,760,519 : x
  2. Step 2: Convert to fraction form
    812,463/1,760,519 = 1,760,519/x
  3. Step 3: Cross multiply
    812,463x = 1,760,519 × 1,760,519
  4. Step 4: Simplify right side
    812,463x = 3,099,427,149,361
  5. Step 5: Solve for x
    x = 3,099,427,149,361/812,463
  6. Step 6: Final answer
    x = 3,814,853.29

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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.