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Finding the Third Proportional to 412,186,195 and 888,940,647

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Solution

The third proportional to 412,186,195 and 888,940,647 is: 1,917,132,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,195 : 888,940,647 = 888,940,647 : x
  2. Step 2: Convert to fraction form
    412,186,195/888,940,647 = 888,940,647/x
  3. Step 3: Cross multiply
    412,186,195x = 888,940,647 × 888,940,647
  4. Step 4: Simplify right side
    412,186,195x = 790,215,473,888,778,624
  5. Step 5: Solve for x
    x = 790,215,473,888,778,624/412,186,195
  6. Step 6: Final answer
    x = 1,917,132,314.17

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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.