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Finding the Third Proportional to 490,069 and 1,061,571

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Solution

The third proportional to 490,069 and 1,061,571 is: 2,299,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,069 : 1,061,571 = 1,061,571 : x
  2. Step 2: Convert to fraction form
    490,069/1,061,571 = 1,061,571/x
  3. Step 3: Cross multiply
    490,069x = 1,061,571 × 1,061,571
  4. Step 4: Simplify right side
    490,069x = 1,126,932,988,041
  5. Step 5: Solve for x
    x = 1,126,932,988,041/490,069
  6. Step 6: Final answer
    x = 2,299,539.43

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