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Finding the Third Proportional to 686,781 and 1,491,738

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Solution

The third proportional to 686,781 and 1,491,738 is: 3,240,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,781 : 1,491,738 = 1,491,738 : x
  2. Step 2: Convert to fraction form
    686,781/1,491,738 = 1,491,738/x
  3. Step 3: Cross multiply
    686,781x = 1,491,738 × 1,491,738
  4. Step 4: Simplify right side
    686,781x = 2,225,282,260,644
  5. Step 5: Solve for x
    x = 2,225,282,260,644/686,781
  6. Step 6: Final answer
    x = 3,240,162.82

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