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Finding the Third Proportional to 412,186,307 and 888,940,863

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Solution

The third proportional to 412,186,307 and 888,940,863 is: 1,917,132,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,307 : 888,940,863 = 888,940,863 : x
  2. Step 2: Convert to fraction form
    412,186,307/888,940,863 = 888,940,863/x
  3. Step 3: Cross multiply
    412,186,307x = 888,940,863 × 888,940,863
  4. Step 4: Simplify right side
    412,186,307x = 790,215,857,911,184,768
  5. Step 5: Solve for x
    x = 790,215,857,911,184,768/412,186,307
  6. Step 6: Final answer
    x = 1,917,132,724.91

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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.