The simplified value of $\frac{1+984762\times 984764}{984763\times 984763}$ is:

Let $a=984763$.
Then the expression can be rewritten in terms of $a$:

* $984762=a-1$
* $984764=a+1$
* $984763\times 984763=a^2$

Substitute these variables into the given fraction:

$$\text{Expression}=\frac{1+(a-1)(a+1)}{a^2}$$

Using the identity $(a-1)(a+1)=a^2-1$:

$$\text{Expression}=\frac{1+(a^2-1)}{a^2}=\frac{a^2}{a^2}=1$$