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Finding the Third Proportional to 394,755,465 and 855,409,614

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Solution

The third proportional to 394,755,465 and 855,409,614 is: 1,853,617,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,755,465 : 855,409,614 = 855,409,614 : x
  2. Step 2: Convert to fraction form
    394,755,465/855,409,614 = 855,409,614/x
  3. Step 3: Cross multiply
    394,755,465x = 855,409,614 × 855,409,614
  4. Step 4: Simplify right side
    394,755,465x = 731,725,607,723,629,056
  5. Step 5: Solve for x
    x = 731,725,607,723,629,056/394,755,465
  6. Step 6: Final answer
    x = 1,853,617,422.94

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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.