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Finding the Third Proportional to 2,701,493 and 5,764,570

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Solution

The third proportional to 2,701,493 and 5,764,570 is: 12,300,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701,493 : 5,764,570 = 5,764,570 : x
  2. Step 2: Convert to fraction form
    2,701,493/5,764,570 = 5,764,570/x
  3. Step 3: Cross multiply
    2,701,493x = 5,764,570 × 5,764,570
  4. Step 4: Simplify right side
    2,701,493x = 33,230,267,284,900
  5. Step 5: Solve for x
    x = 33,230,267,284,900/2,701,493
  6. Step 6: Final answer
    x = 12,300,704.57

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.