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Finding the Third Proportional to 414,408 and 892,578

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Solution

The third proportional to 414,408 and 892,578 is: 1,922,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,408 : 892,578 = 892,578 : x
  2. Step 2: Convert to fraction form
    414,408/892,578 = 892,578/x
  3. Step 3: Cross multiply
    414,408x = 892,578 × 892,578
  4. Step 4: Simplify right side
    414,408x = 796,695,486,084
  5. Step 5: Solve for x
    x = 796,695,486,084/414,408
  6. Step 6: Final answer
    x = 1,922,490.60

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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.