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Finding the Third Proportional to 451,726 and 892,112

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Solution

The third proportional to 451,726 and 892,112 is: 1,761,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,726 : 892,112 = 892,112 : x
  2. Step 2: Convert to fraction form
    451,726/892,112 = 892,112/x
  3. Step 3: Cross multiply
    451,726x = 892,112 × 892,112
  4. Step 4: Simplify right side
    451,726x = 795,863,820,544
  5. Step 5: Solve for x
    x = 795,863,820,544/451,726
  6. Step 6: Final answer
    x = 1,761,828.68

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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.