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Finding the Third Proportional to 2,182,849 and 4,591,923

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Solution

The third proportional to 2,182,849 and 4,591,923 is: 9,659,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,849 : 4,591,923 = 4,591,923 : x
  2. Step 2: Convert to fraction form
    2,182,849/4,591,923 = 4,591,923/x
  3. Step 3: Cross multiply
    2,182,849x = 4,591,923 × 4,591,923
  4. Step 4: Simplify right side
    2,182,849x = 21,085,756,837,929
  5. Step 5: Solve for x
    x = 21,085,756,837,929/2,182,849
  6. Step 6: Final answer
    x = 9,659,741.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.