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Finding the Third Proportional to 451,728 and 892,116

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Solution

The third proportional to 451,728 and 892,116 is: 1,761,836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,728 : 892,116 = 892,116 : x
  2. Step 2: Convert to fraction form
    451,728/892,116 = 892,116/x
  3. Step 3: Cross multiply
    451,728x = 892,116 × 892,116
  4. Step 4: Simplify right side
    451,728x = 795,870,957,456
  5. Step 5: Solve for x
    x = 795,870,957,456/451,728
  6. Step 6: Final answer
    x = 1,761,836.67

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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.