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Finding the Third Proportional to 395,613 and 867,042

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Solution

The third proportional to 395,613 and 867,042 is: 1,900,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,613 : 867,042 = 867,042 : x
  2. Step 2: Convert to fraction form
    395,613/867,042 = 867,042/x
  3. Step 3: Cross multiply
    395,613x = 867,042 × 867,042
  4. Step 4: Simplify right side
    395,613x = 751,761,829,764
  5. Step 5: Solve for x
    x = 751,761,829,764/395,613
  6. Step 6: Final answer
    x = 1,900,245.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.