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Finding the Third Proportional to 2,144,238 and 3,317,121

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Solution

The third proportional to 2,144,238 and 3,317,121 is: 5,131,562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144,238 : 3,317,121 = 3,317,121 : x
  2. Step 2: Convert to fraction form
    2,144,238/3,317,121 = 3,317,121/x
  3. Step 3: Cross multiply
    2,144,238x = 3,317,121 × 3,317,121
  4. Step 4: Simplify right side
    2,144,238x = 11,003,291,728,641
  5. Step 5: Solve for x
    x = 11,003,291,728,641/2,144,238
  6. Step 6: Final answer
    x = 5,131,562.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.