
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
Given that the center of ellipse $G$ is the origin $O$, and its axes of symmetry are the coordinate axes. The focus of the parabola $y^{2}=4 \sqrt {3}x$ is one of the foci of $G$, and the eccentricity $e= \frac { \sqrt {3}}{2}$.  
(Ⅰ) Find the equation of ellipse $G$;  
(Ⅱ) Given that the equation of circle $M$ is $x^{2}+y^{2}=R^{2}$ ($1<R<2$), suppose line $l$ is tangent to both circle $M$ and ellipse $G$, and the tangent points are $A$ and $B$ respectively. What value of $R$ makes $|AB|$ reach its maximum value? And find the maximum value.

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