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Finding the Third Proportional to 412,186,205 and 888,940,667

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Solution

The third proportional to 412,186,205 and 888,940,667 is: 1,917,132,353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,205 : 888,940,667 = 888,940,667 : x
  2. Step 2: Convert to fraction form
    412,186,205/888,940,667 = 888,940,667/x
  3. Step 3: Cross multiply
    412,186,205x = 888,940,667 × 888,940,667
  4. Step 4: Simplify right side
    412,186,205x = 790,215,509,446,404,864
  5. Step 5: Solve for x
    x = 790,215,509,446,404,864/412,186,205
  6. Step 6: Final answer
    x = 1,917,132,353.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.