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Finding the Third Proportional to 681,670 and 1,036,668

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Solution

The third proportional to 681,670 and 1,036,668 is: 1,576,540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,670 : 1,036,668 = 1,036,668 : x
  2. Step 2: Convert to fraction form
    681,670/1,036,668 = 1,036,668/x
  3. Step 3: Cross multiply
    681,670x = 1,036,668 × 1,036,668
  4. Step 4: Simplify right side
    681,670x = 1,074,680,542,224
  5. Step 5: Solve for x
    x = 1,074,680,542,224/681,670
  6. Step 6: Final answer
    x = 1,576,540.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.