#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;

const ll mod = 1000000007;

#define FOR(i, s, e) for (ll i = s; i < e; i++)
#define FOr(i, s, e) for (ll i = s; i >= e; i--)

#define PI acos(-1)


void fastio()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
#ifndef ONLINE_JUDGE
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif
}

#define sz 105


void solve()
{
    ll x, y, k;
    cin >> x >> y >> k;

    ll total = k + (y * k);

    ll l = 1, h = 1e18, ans = 1e18;

    while (l <= h)
    {
        ll mid = (l + h) / 2;
        // cout << mid << ' ';

        ll comp = (mid * x) - (mid - 1);

        if (comp >= total)
        {
            ans = min(mid, ans);
            h = mid - 1;
        }
        else
            l = mid + 1;

        // cout << l << ' ' << h << ' ' << ans << endl;
    }
    cout << ans + k << '\n';


}

int main()
{
    fastio();

    int t = 1; cin >> t;
    while (t--)
        solve();

    return 0;
}