$1-$ Complete problem: Portfolio Beta

You have a $$2$ million portfolio consisting of a $$100,000$ investment in each of $20$ different stocks. The portfolio has a beta of $1\mathrm{.}1.$ You are considering selling $$100,000$ worth of one stock with a beta of $0\mathrm{.}9$ and using the proceeds to purchase another stock with a beta of $1\mathrm{.}4.$

$$

What will the portfolio$$s new beta be after these transactions?