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Finding the Third Proportional to 414,399 and 892,560

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Solution

The third proportional to 414,399 and 892,560 is: 1,922,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,399 : 892,560 = 892,560 : x
  2. Step 2: Convert to fraction form
    414,399/892,560 = 892,560/x
  3. Step 3: Cross multiply
    414,399x = 892,560 × 892,560
  4. Step 4: Simplify right side
    414,399x = 796,663,353,600
  5. Step 5: Solve for x
    x = 796,663,353,600/414,399
  6. Step 6: Final answer
    x = 1,922,454.82

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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.