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Finding the Third Proportional to 414,530 and 892,483

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Solution

The third proportional to 414,530 and 892,483 is: 1,921,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,530 : 892,483 = 892,483 : x
  2. Step 2: Convert to fraction form
    414,530/892,483 = 892,483/x
  3. Step 3: Cross multiply
    414,530x = 892,483 × 892,483
  4. Step 4: Simplify right side
    414,530x = 796,525,905,289
  5. Step 5: Solve for x
    x = 796,525,905,289/414,530
  6. Step 6: Final answer
    x = 1,921,515.71

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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.