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Finding the Third Proportional to 412,186,286 and 888,940,821

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Solution

The third proportional to 412,186,286 and 888,940,821 is: 1,917,132,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,286 : 888,940,821 = 888,940,821 : x
  2. Step 2: Convert to fraction form
    412,186,286/888,940,821 = 888,940,821/x
  3. Step 3: Cross multiply
    412,186,286x = 888,940,821 × 888,940,821
  4. Step 4: Simplify right side
    412,186,286x = 790,215,783,240,153,984
  5. Step 5: Solve for x
    x = 790,215,783,240,153,984/412,186,286
  6. Step 6: Final answer
    x = 1,917,132,641.43

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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.