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Finding the Third Proportional to 2,503,974 and 5,397,324

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Solution

The third proportional to 2,503,974 and 5,397,324 is: 11,633,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503,974 : 5,397,324 = 5,397,324 : x
  2. Step 2: Convert to fraction form
    2,503,974/5,397,324 = 5,397,324/x
  3. Step 3: Cross multiply
    2,503,974x = 5,397,324 × 5,397,324
  4. Step 4: Simplify right side
    2,503,974x = 29,131,106,360,976
  5. Step 5: Solve for x
    x = 29,131,106,360,976/2,503,974
  6. Step 6: Final answer
    x = 11,633,949.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.