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Finding the Third Proportional to 2,047,992 and 3,212,571

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Solution

The third proportional to 2,047,992 and 3,212,571 is: 5,039,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,992 : 3,212,571 = 3,212,571 : x
  2. Step 2: Convert to fraction form
    2,047,992/3,212,571 = 3,212,571/x
  3. Step 3: Cross multiply
    2,047,992x = 3,212,571 × 3,212,571
  4. Step 4: Simplify right side
    2,047,992x = 10,320,612,430,041
  5. Step 5: Solve for x
    x = 10,320,612,430,041/2,047,992
  6. Step 6: Final answer
    x = 5,039,381.22

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.