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Finding the Third Proportional to 2,073,993 and 4,313,531

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Solution

The third proportional to 2,073,993 and 4,313,531 is: 8,971,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073,993 : 4,313,531 = 4,313,531 : x
  2. Step 2: Convert to fraction form
    2,073,993/4,313,531 = 4,313,531/x
  3. Step 3: Cross multiply
    2,073,993x = 4,313,531 × 4,313,531
  4. Step 4: Simplify right side
    2,073,993x = 18,606,549,687,961
  5. Step 5: Solve for x
    x = 18,606,549,687,961/2,073,993
  6. Step 6: Final answer
    x = 8,971,365.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.