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Finding the Third Proportional to 414,544 and 892,512

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Solution

The third proportional to 414,544 and 892,512 is: 1,921,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,544 : 892,512 = 892,512 : x
  2. Step 2: Convert to fraction form
    414,544/892,512 = 892,512/x
  3. Step 3: Cross multiply
    414,544x = 892,512 × 892,512
  4. Step 4: Simplify right side
    414,544x = 796,577,670,144
  5. Step 5: Solve for x
    x = 796,577,670,144/414,544
  6. Step 6: Final answer
    x = 1,921,575.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.