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Finding the Third Proportional to 382,071,396 and 605,968,794

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Solution

The third proportional to 382,071,396 and 605,968,794 is: 961,072,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,071,396 : 605,968,794 = 605,968,794 : x
  2. Step 2: Convert to fraction form
    382,071,396/605,968,794 = 605,968,794/x
  3. Step 3: Cross multiply
    382,071,396x = 605,968,794 × 605,968,794
  4. Step 4: Simplify right side
    382,071,396x = 367,198,179,301,814,464
  5. Step 5: Solve for x
    x = 367,198,179,301,814,464/382,071,396
  6. Step 6: Final answer
    x = 961,072,153.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.