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Finding the Third Proportional to 416,866 and 879,668

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Solution

The third proportional to 416,866 and 879,668 is: 1,856,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,866 : 879,668 = 879,668 : x
  2. Step 2: Convert to fraction form
    416,866/879,668 = 879,668/x
  3. Step 3: Cross multiply
    416,866x = 879,668 × 879,668
  4. Step 4: Simplify right side
    416,866x = 773,815,790,224
  5. Step 5: Solve for x
    x = 773,815,790,224/416,866
  6. Step 6: Final answer
    x = 1,856,269.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.