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Finding the Third Proportional to 416,374,380 and 925,844,126

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Solution

The third proportional to 416,374,380 and 925,844,126 is: 2,058,693,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,374,380 : 925,844,126 = 925,844,126 : x
  2. Step 2: Convert to fraction form
    416,374,380/925,844,126 = 925,844,126/x
  3. Step 3: Cross multiply
    416,374,380x = 925,844,126 × 925,844,126
  4. Step 4: Simplify right side
    416,374,380x = 857,187,345,648,703,872
  5. Step 5: Solve for x
    x = 857,187,345,648,703,872/416,374,380
  6. Step 6: Final answer
    x = 2,058,693,778.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.