Differnt page template for page 2 of blog feed

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Not sure if you can use a complete different template but you can use different template parts using the global $page variable.

Example:

global $page;

    if ( $page == 2 ) {
    get_template_part( 'page', 'two' );
} else {
    get_template_part( 'page', 'default');
    }

This would load the template file page-two.php or page-default.php depending on what page you were on.