Challenge 1: A Live-Recalculating Formula Across Two Sessions — Solution Walkthrough Setup: a Sheet shared with a second account, one person edits a raw input cell while the other actively views a dependent formula elsewhere. What the second person sees: The formula's displayed result updates automatically and live, the moment the first person's edit registers — with no need to refresh the page, click into the formula cell, or take any action at all. The number simply changes on screen, in real time, reflecting the new input value, exactly as if the second person had made the edit themselves. WHY THIS WORKS AS AN ANSWER ------------------------------ This is the direct, hands-on confirmation of this chapter's own core claim: the same real-time sync mechanism Chapter 2 described for shared text applies identically to a calculation dependency chain — a formula's own inputs changing anywhere in the live shared document triggers an immediate, visible recalculation for every current viewer, not just the person who made the edit.