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Finding the Third Proportional to 496,607,992 and 1,170,642,928

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Solution

The third proportional to 496,607,992 and 1,170,642,928 is: 2,759,530,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,607,992 : 1,170,642,928 = 1,170,642,928 : x
  2. Step 2: Convert to fraction form
    496,607,992/1,170,642,928 = 1,170,642,928/x
  3. Step 3: Cross multiply
    496,607,992x = 1,170,642,928 × 1,170,642,928
  4. Step 4: Simplify right side
    496,607,992x = 1,370,404,864,876,413,184
  5. Step 5: Solve for x
    x = 1,370,404,864,876,413,184/496,607,992
  6. Step 6: Final answer
    x = 2,759,530,428.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.