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Finding the Third Proportional to 3,431,876 and 5,182,984

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Solution

The third proportional to 3,431,876 and 5,182,984 is: 7,827,591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431,876 : 5,182,984 = 5,182,984 : x
  2. Step 2: Convert to fraction form
    3,431,876/5,182,984 = 5,182,984/x
  3. Step 3: Cross multiply
    3,431,876x = 5,182,984 × 5,182,984
  4. Step 4: Simplify right side
    3,431,876x = 26,863,323,144,256
  5. Step 5: Solve for x
    x = 26,863,323,144,256/3,431,876
  6. Step 6: Final answer
    x = 7,827,591.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.