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Finding the Third Proportional to 609,170 and 892,971

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Solution

The third proportional to 609,170 and 892,971 is: 1,308,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,170 : 892,971 = 892,971 : x
  2. Step 2: Convert to fraction form
    609,170/892,971 = 892,971/x
  3. Step 3: Cross multiply
    609,170x = 892,971 × 892,971
  4. Step 4: Simplify right side
    609,170x = 797,397,206,841
  5. Step 5: Solve for x
    x = 797,397,206,841/609,170
  6. Step 6: Final answer
    x = 1,308,989.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.