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Finding the Third Proportional to 809,539 and 1,743,668

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Solution

The third proportional to 809,539 and 1,743,668 is: 3,755,690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,539 : 1,743,668 = 1,743,668 : x
  2. Step 2: Convert to fraction form
    809,539/1,743,668 = 1,743,668/x
  3. Step 3: Cross multiply
    809,539x = 1,743,668 × 1,743,668
  4. Step 4: Simplify right side
    809,539x = 3,040,378,094,224
  5. Step 5: Solve for x
    x = 3,040,378,094,224/809,539
  6. Step 6: Final answer
    x = 3,755,690.70

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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.