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Finding the Third Proportional to 1,431,831 and 2,006,967

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Solution

The third proportional to 1,431,831 and 2,006,967 is: 2,813,122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,831 : 2,006,967 = 2,006,967 : x
  2. Step 2: Convert to fraction form
    1,431,831/2,006,967 = 2,006,967/x
  3. Step 3: Cross multiply
    1,431,831x = 2,006,967 × 2,006,967
  4. Step 4: Simplify right side
    1,431,831x = 4,027,916,539,089
  5. Step 5: Solve for x
    x = 4,027,916,539,089/1,431,831
  6. Step 6: Final answer
    x = 2,813,122.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.