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Finding the Third Proportional to 1,820,163.75 and 3,958,019.63

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Solution

The third proportional to 1,820,163.75 and 3,958,019.63 is: 8,606,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820,163.75 : 3,958,019.63 = 3,958,019.63 : x
  2. Step 2: Convert to fraction form
    1,820,163.75/3,958,019.63 = 3,958,019.63/x
  3. Step 3: Cross multiply
    1,820,163.75x = 3,958,019.63 × 3,958,019.63
  4. Step 4: Simplify right side
    1,820,163.75x = 15,665,919,351,885.14
  5. Step 5: Solve for x
    x = 15,665,919,351,885.14/1,820,163.75
  6. Step 6: Final answer
    x = 8,606,873.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.