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Finding the Third Proportional to 394,755,464 and 855,409,612

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Solution

The third proportional to 394,755,464 and 855,409,612 is: 1,853,617,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,755,464 : 855,409,612 = 855,409,612 : x
  2. Step 2: Convert to fraction form
    394,755,464/855,409,612 = 855,409,612/x
  3. Step 3: Cross multiply
    394,755,464x = 855,409,612 × 855,409,612
  4. Step 4: Simplify right side
    394,755,464x = 731,725,604,301,990,528
  5. Step 5: Solve for x
    x = 731,725,604,301,990,528/394,755,464
  6. Step 6: Final answer
    x = 1,853,617,418.96

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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.