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Finding the Third Proportional to 3,191,971 and 5,081,512

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Solution

The third proportional to 3,191,971 and 5,081,512 is: 8,089,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191,971 : 5,081,512 = 5,081,512 : x
  2. Step 2: Convert to fraction form
    3,191,971/5,081,512 = 5,081,512/x
  3. Step 3: Cross multiply
    3,191,971x = 5,081,512 × 5,081,512
  4. Step 4: Simplify right side
    3,191,971x = 25,821,764,206,144
  5. Step 5: Solve for x
    x = 25,821,764,206,144/3,191,971
  6. Step 6: Final answer
    x = 8,089,598.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.