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Finding the Third Proportional to 414,529 and 892,480

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Solution

The third proportional to 414,529 and 892,480 is: 1,921,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,529 : 892,480 = 892,480 : x
  2. Step 2: Convert to fraction form
    414,529/892,480 = 892,480/x
  3. Step 3: Cross multiply
    414,529x = 892,480 × 892,480
  4. Step 4: Simplify right side
    414,529x = 796,520,550,400
  5. Step 5: Solve for x
    x = 796,520,550,400/414,529
  6. Step 6: Final answer
    x = 1,921,507.42

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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.