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Finding the Third Proportional to 2,764,440 and 5,749,578

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Solution

The third proportional to 2,764,440 and 5,749,578 is: 11,958,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764,440 : 5,749,578 = 5,749,578 : x
  2. Step 2: Convert to fraction form
    2,764,440/5,749,578 = 5,749,578/x
  3. Step 3: Cross multiply
    2,764,440x = 5,749,578 × 5,749,578
  4. Step 4: Simplify right side
    2,764,440x = 33,057,647,178,084
  5. Step 5: Solve for x
    x = 33,057,647,178,084/2,764,440
  6. Step 6: Final answer
    x = 11,958,171.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.