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Finding the Third Proportional to 400,042 and 853,652

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Solution

The third proportional to 400,042 and 853,652 is: 1,821,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,042 : 853,652 = 853,652 : x
  2. Step 2: Convert to fraction form
    400,042/853,652 = 853,652/x
  3. Step 3: Cross multiply
    400,042x = 853,652 × 853,652
  4. Step 4: Simplify right side
    400,042x = 728,721,737,104
  5. Step 5: Solve for x
    x = 728,721,737,104/400,042
  6. Step 6: Final answer
    x = 1,821,613.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.