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Finding the Third Proportional to 2,018,831 and 3,103,089

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Solution

The third proportional to 2,018,831 and 3,103,089 is: 4,769,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018,831 : 3,103,089 = 3,103,089 : x
  2. Step 2: Convert to fraction form
    2,018,831/3,103,089 = 3,103,089/x
  3. Step 3: Cross multiply
    2,018,831x = 3,103,089 × 3,103,089
  4. Step 4: Simplify right side
    2,018,831x = 9,629,161,341,921
  5. Step 5: Solve for x
    x = 9,629,161,341,921/2,018,831
  6. Step 6: Final answer
    x = 4,769,671.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.