
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In 1990, a typical CPU contained about $500,\!000$ transistors. With the advent of a technological breakthrough, not only does Moore's law (which states the number of transistors doubles every two years) apply, but an additional law passed in 1990 also allows for tripling the number of transistors every six years. How many transistors would a typical CPU contain in the year 2005 following these combined growth laws?

Present the answer in LaTex format: \boxed{Your answer}
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