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Finding the Third Proportional to 2,161,258 and 5,002,923

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Solution

The third proportional to 2,161,258 and 5,002,923 is: 11,580,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,258 : 5,002,923 = 5,002,923 : x
  2. Step 2: Convert to fraction form
    2,161,258/5,002,923 = 5,002,923/x
  3. Step 3: Cross multiply
    2,161,258x = 5,002,923 × 5,002,923
  4. Step 4: Simplify right side
    2,161,258x = 25,029,238,543,929
  5. Step 5: Solve for x
    x = 25,029,238,543,929/2,161,258
  6. Step 6: Final answer
    x = 11,580,865.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.