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Finding the Third Proportional to 412,186,205 and 888,940,668

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Solution

The third proportional to 412,186,205 and 888,940,668 is: 1,917,132,358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,205 : 888,940,668 = 888,940,668 : x
  2. Step 2: Convert to fraction form
    412,186,205/888,940,668 = 888,940,668/x
  3. Step 3: Cross multiply
    412,186,205x = 888,940,668 × 888,940,668
  4. Step 4: Simplify right side
    412,186,205x = 790,215,511,224,286,208
  5. Step 5: Solve for x
    x = 790,215,511,224,286,208/412,186,205
  6. Step 6: Final answer
    x = 1,917,132,358.24

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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.