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Finding the Third Proportional to 406,744 and 950,170

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Solution

The third proportional to 406,744 and 950,170 is: 2,219,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,744 : 950,170 = 950,170 : x
  2. Step 2: Convert to fraction form
    406,744/950,170 = 950,170/x
  3. Step 3: Cross multiply
    406,744x = 950,170 × 950,170
  4. Step 4: Simplify right side
    406,744x = 902,823,028,900
  5. Step 5: Solve for x
    x = 902,823,028,900/406,744
  6. Step 6: Final answer
    x = 2,219,634.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.