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Finding the Third Proportional to 399,136 and 853,616

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Solution

The third proportional to 399,136 and 853,616 is: 1,825,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,136 : 853,616 = 853,616 : x
  2. Step 2: Convert to fraction form
    399,136/853,616 = 853,616/x
  3. Step 3: Cross multiply
    399,136x = 853,616 × 853,616
  4. Step 4: Simplify right side
    399,136x = 728,660,275,456
  5. Step 5: Solve for x
    x = 728,660,275,456/399,136
  6. Step 6: Final answer
    x = 1,825,593.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.