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Finding the Third Proportional to 618,077 and 1,283,524

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Solution

The third proportional to 618,077 and 1,283,524 is: 2,665,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,077 : 1,283,524 = 1,283,524 : x
  2. Step 2: Convert to fraction form
    618,077/1,283,524 = 1,283,524/x
  3. Step 3: Cross multiply
    618,077x = 1,283,524 × 1,283,524
  4. Step 4: Simplify right side
    618,077x = 1,647,433,858,576
  5. Step 5: Solve for x
    x = 1,647,433,858,576/618,077
  6. Step 6: Final answer
    x = 2,665,418.48

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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.