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Finding the Third Proportional to 2,027,647 and 3,138,533

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Solution

The third proportional to 2,027,647 and 3,138,533 is: 4,858,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,647 : 3,138,533 = 3,138,533 : x
  2. Step 2: Convert to fraction form
    2,027,647/3,138,533 = 3,138,533/x
  3. Step 3: Cross multiply
    2,027,647x = 3,138,533 × 3,138,533
  4. Step 4: Simplify right side
    2,027,647x = 9,850,389,392,089
  5. Step 5: Solve for x
    x = 9,850,389,392,089/2,027,647
  6. Step 6: Final answer
    x = 4,858,039.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.