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Finding the Third Proportional to 2,529,571 and 5,971,199

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Solution

The third proportional to 2,529,571 and 5,971,199 is: 14,095,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529,571 : 5,971,199 = 5,971,199 : x
  2. Step 2: Convert to fraction form
    2,529,571/5,971,199 = 5,971,199/x
  3. Step 3: Cross multiply
    2,529,571x = 5,971,199 × 5,971,199
  4. Step 4: Simplify right side
    2,529,571x = 35,655,217,497,601
  5. Step 5: Solve for x
    x = 35,655,217,497,601/2,529,571
  6. Step 6: Final answer
    x = 14,095,361.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.