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Finding the Third Proportional to 568,668 and 1,224,816

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Solution

The third proportional to 568,668 and 1,224,816 is: 2,638,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,668 : 1,224,816 = 1,224,816 : x
  2. Step 2: Convert to fraction form
    568,668/1,224,816 = 1,224,816/x
  3. Step 3: Cross multiply
    568,668x = 1,224,816 × 1,224,816
  4. Step 4: Simplify right side
    568,668x = 1,500,174,233,856
  5. Step 5: Solve for x
    x = 1,500,174,233,856/568,668
  6. Step 6: Final answer
    x = 2,638,049.33

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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.