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Finding the Third Proportional to 394,758,314 and 855,415,276

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Solution

The third proportional to 394,758,314 and 855,415,276 is: 1,853,628,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,758,314 : 855,415,276 = 855,415,276 : x
  2. Step 2: Convert to fraction form
    394,758,314/855,415,276 = 855,415,276/x
  3. Step 3: Cross multiply
    394,758,314x = 855,415,276 × 855,415,276
  4. Step 4: Simplify right side
    394,758,314x = 731,735,294,414,156,160
  5. Step 5: Solve for x
    x = 731,735,294,414,156,160/394,758,314
  6. Step 6: Final answer
    x = 1,853,628,583.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.