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Finding the Third Proportional to 416,633 and 892,311

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Solution

The third proportional to 416,633 and 892,311 is: 1,911,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,633 : 892,311 = 892,311 : x
  2. Step 2: Convert to fraction form
    416,633/892,311 = 892,311/x
  3. Step 3: Cross multiply
    416,633x = 892,311 × 892,311
  4. Step 4: Simplify right side
    416,633x = 796,218,920,721
  5. Step 5: Solve for x
    x = 796,218,920,721/416,633
  6. Step 6: Final answer
    x = 1,911,079.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.