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Finding the Third Proportional to 479,472 and 1,033,668

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Solution

The third proportional to 479,472 and 1,033,668 is: 2,228,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,472 : 1,033,668 = 1,033,668 : x
  2. Step 2: Convert to fraction form
    479,472/1,033,668 = 1,033,668/x
  3. Step 3: Cross multiply
    479,472x = 1,033,668 × 1,033,668
  4. Step 4: Simplify right side
    479,472x = 1,068,469,534,224
  5. Step 5: Solve for x
    x = 1,068,469,534,224/479,472
  6. Step 6: Final answer
    x = 2,228,429.47

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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.