Actuizzle, may I clarify your statement: "This tactic requires 333,333,333.4545 shares, or at least 3,333,334 shares." ?
I think you meant to say:
"This tactic requires 36,666,667 votes, or at least 3,333,334 shares."
You realize, this method shows that the answer is simply 2/3 the number of outstanding shares (5,000,000), and it shows that the number of total members, 11, is irrelevant.
The variety of answers we’ve seen to this question on voting reflects the variety of ways to understand the question. For instance, do we understand it as: “How many shares are needed to guarantee the election of at least 2 members of the board?” or perhaps: “How many shares are needed to guarantee the election of at least 2 specific members of the board?” ?
"He's right."
"No she's right"
"You're both right."
"Wait a sec! They can't both be right!"
"You're right, too!"