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Finding the Third Proportional to 412,186,220 and 888,940,697

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Solution

The third proportional to 412,186,220 and 888,940,697 is: 1,917,132,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,220 : 888,940,697 = 888,940,697 : x
  2. Step 2: Convert to fraction form
    412,186,220/888,940,697 = 888,940,697/x
  3. Step 3: Cross multiply
    412,186,220x = 888,940,697 × 888,940,697
  4. Step 4: Simplify right side
    412,186,220x = 790,215,562,782,845,824
  5. Step 5: Solve for x
    x = 790,215,562,782,845,824/412,186,220
  6. Step 6: Final answer
    x = 1,917,132,413.56

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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.