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Finding the Third Proportional to 412,186,215 and 888,940,680

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Solution

The third proportional to 412,186,215 and 888,940,680 is: 1,917,132,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,215 : 888,940,680 = 888,940,680 : x
  2. Step 2: Convert to fraction form
    412,186,215/888,940,680 = 888,940,680/x
  3. Step 3: Cross multiply
    412,186,215x = 888,940,680 × 888,940,680
  4. Step 4: Simplify right side
    412,186,215x = 790,215,532,558,862,336
  5. Step 5: Solve for x
    x = 790,215,532,558,862,336/412,186,215
  6. Step 6: Final answer
    x = 1,917,132,363.48

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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.