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Finding the Third Proportional to 677,743 and 1,411,668

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Solution

The third proportional to 677,743 and 1,411,668 is: 2,940,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,743 : 1,411,668 = 1,411,668 : x
  2. Step 2: Convert to fraction form
    677,743/1,411,668 = 1,411,668/x
  3. Step 3: Cross multiply
    677,743x = 1,411,668 × 1,411,668
  4. Step 4: Simplify right side
    677,743x = 1,992,806,542,224
  5. Step 5: Solve for x
    x = 1,992,806,542,224/677,743
  6. Step 6: Final answer
    x = 2,940,357.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.