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Finding the Third Proportional to 2,757,242 and 3,971,271

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Solution

The third proportional to 2,757,242 and 3,971,271 is: 5,719,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757,242 : 3,971,271 = 3,971,271 : x
  2. Step 2: Convert to fraction form
    2,757,242/3,971,271 = 3,971,271/x
  3. Step 3: Cross multiply
    2,757,242x = 3,971,271 × 3,971,271
  4. Step 4: Simplify right side
    2,757,242x = 15,770,993,355,441
  5. Step 5: Solve for x
    x = 15,770,993,355,441/2,757,242
  6. Step 6: Final answer
    x = 5,719,843.73

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.