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Finding the Third Proportional to 1,442,589 and 3,078,249

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Solution

The third proportional to 1,442,589 and 3,078,249 is: 6,568,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,589 : 3,078,249 = 3,078,249 : x
  2. Step 2: Convert to fraction form
    1,442,589/3,078,249 = 3,078,249/x
  3. Step 3: Cross multiply
    1,442,589x = 3,078,249 × 3,078,249
  4. Step 4: Simplify right side
    1,442,589x = 9,475,616,906,001
  5. Step 5: Solve for x
    x = 9,475,616,906,001/1,442,589
  6. Step 6: Final answer
    x = 6,568,479.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.