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Finding the Third Proportional to 412,562 and 892,480

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Solution

The third proportional to 412,562 and 892,480 is: 1,930,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,562 : 892,480 = 892,480 : x
  2. Step 2: Convert to fraction form
    412,562/892,480 = 892,480/x
  3. Step 3: Cross multiply
    412,562x = 892,480 × 892,480
  4. Step 4: Simplify right side
    412,562x = 796,520,550,400
  5. Step 5: Solve for x
    x = 796,520,550,400/412,562
  6. Step 6: Final answer
    x = 1,930,668.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.