
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
New energy vehicles have gradually become people's means of transportation. According to statistics from a certain brand of new energy vehicle dealer in a certain city from January to March, the brand sold 100 vehicles in January and 121 vehicles in March.
$(1)$ Find the monthly average growth rate of sales of this brand of new energy vehicles;
$(2)$ If the cost price of this brand of new energy vehicles is 15.3 million yuan per vehicle and the selling price is 16.3 million yuan per vehicle, how much profit did the dealer make from January to March?

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