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Finding the Third Proportional to 3,527,221 and 5,277,119

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Solution

The third proportional to 3,527,221 and 5,277,119 is: 7,895,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527,221 : 5,277,119 = 5,277,119 : x
  2. Step 2: Convert to fraction form
    3,527,221/5,277,119 = 5,277,119/x
  3. Step 3: Cross multiply
    3,527,221x = 5,277,119 × 5,277,119
  4. Step 4: Simplify right side
    3,527,221x = 27,847,984,940,161
  5. Step 5: Solve for x
    x = 27,847,984,940,161/3,527,221
  6. Step 6: Final answer
    x = 7,895,163.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.