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Finding the Third Proportional to 451,724 and 892,108

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Solution

The third proportional to 451,724 and 892,108 is: 1,761,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,724 : 892,108 = 892,108 : x
  2. Step 2: Convert to fraction form
    451,724/892,108 = 892,108/x
  3. Step 3: Cross multiply
    451,724x = 892,108 × 892,108
  4. Step 4: Simplify right side
    451,724x = 795,856,683,664
  5. Step 5: Solve for x
    x = 795,856,683,664/451,724
  6. Step 6: Final answer
    x = 1,761,820.68

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.