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Finding the Third Proportional to 1,969,427 and 4,274,971

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Solution

The third proportional to 1,969,427 and 4,274,971 is: 9,279,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,427 : 4,274,971 = 4,274,971 : x
  2. Step 2: Convert to fraction form
    1,969,427/4,274,971 = 4,274,971/x
  3. Step 3: Cross multiply
    1,969,427x = 4,274,971 × 4,274,971
  4. Step 4: Simplify right side
    1,969,427x = 18,275,377,050,841
  5. Step 5: Solve for x
    x = 18,275,377,050,841/1,969,427
  6. Step 6: Final answer
    x = 9,279,540.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.