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Finding the Third Proportional to 412,186,203 and 888,940,664

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Solution

The third proportional to 412,186,203 and 888,940,664 is: 1,917,132,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,203 : 888,940,664 = 888,940,664 : x
  2. Step 2: Convert to fraction form
    412,186,203/888,940,664 = 888,940,664/x
  3. Step 3: Cross multiply
    412,186,203x = 888,940,664 × 888,940,664
  4. Step 4: Simplify right side
    412,186,203x = 790,215,504,112,760,832
  5. Step 5: Solve for x
    x = 790,215,504,112,760,832/412,186,203
  6. Step 6: Final answer
    x = 1,917,132,350.29

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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.