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Finding the Third Proportional to 2,027,835 and 3,138,831

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Solution

The third proportional to 2,027,835 and 3,138,831 is: 4,858,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,835 : 3,138,831 = 3,138,831 : x
  2. Step 2: Convert to fraction form
    2,027,835/3,138,831 = 3,138,831/x
  3. Step 3: Cross multiply
    2,027,835x = 3,138,831 × 3,138,831
  4. Step 4: Simplify right side
    2,027,835x = 9,852,260,046,561
  5. Step 5: Solve for x
    x = 9,852,260,046,561/2,027,835
  6. Step 6: Final answer
    x = 4,858,511.69

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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.