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Finding the Third Proportional to 682,832 and 1,491,781

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Solution

The third proportional to 682,832 and 1,491,781 is: 3,259,089.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,832 : 1,491,781 = 1,491,781 : x
  2. Step 2: Convert to fraction form
    682,832/1,491,781 = 1,491,781/x
  3. Step 3: Cross multiply
    682,832x = 1,491,781 × 1,491,781
  4. Step 4: Simplify right side
    682,832x = 2,225,410,551,961
  5. Step 5: Solve for x
    x = 2,225,410,551,961/682,832
  6. Step 6: Final answer
    x = 3,259,089.43

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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.