diff --git a/crates/geom/src/tests.rs b/crates/geom/src/tests.rs
index 019f22b83..897b9cbe6 100644
--- a/crates/geom/src/tests.rs
+++ b/crates/geom/src/tests.rs
@@ -306,6 +306,12 @@ fn round_to_handles_large_precision_without_changing_finite_values() {
     assert_eq!(round_to(1.23456, 2), 1.23);
 }
 
+#[test]
+fn round_to_keeps_huge_finite_values_finite() {
+    assert_eq!(round_to(1e307, 2), 1e307);
+    assert_eq!(round_to(-1e307, 2), -1e307);
+}
+
 #[test]
 fn reverse_subpaths_preserves_open_and_closed() {
     let mut open = BezPath::new();
diff --git a/crates/geom/src/transform.rs b/crates/geom/src/transform.rs
index 69c6c788d..e0e743cd4 100644
--- a/crates/geom/src/transform.rs
+++ b/crates/geom/src/transform.rs
@@ -60,6 +60,11 @@ pub fn round_to(v: f64, digits: i32) -> f64 {
     if v.is_finite() && !f.is_finite() {
         return v;
     }
-    let r = (v * f).round() / f;
+    let scaled = v * f;
+    if v.is_finite() && !scaled.is_finite() {
+        // Too large to have a fractional part at this scale; already whole.
+        return v;
+    }
+    let r = scaled.round() / f;
     if r == 0.0 { 0.0 } else { r }
 }