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Finding the Third Proportional to 397,840,333 and 836,907,478

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Solution

The third proportional to 397,840,333 and 836,907,478 is: 1,760,540,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,840,333 : 836,907,478 = 836,907,478 : x
  2. Step 2: Convert to fraction form
    397,840,333/836,907,478 = 836,907,478/x
  3. Step 3: Cross multiply
    397,840,333x = 836,907,478 × 836,907,478
  4. Step 4: Simplify right side
    397,840,333x = 700,414,126,732,320,512
  5. Step 5: Solve for x
    x = 700,414,126,732,320,512/397,840,333
  6. Step 6: Final answer
    x = 1,760,540,771.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.