Is the word futuro the same in Brazilian and European Portuguese?

Yes

The word "futuro" is identical in meaning, spelling, and grammatical function in both Brazilian and Continental Portuguese. The differences between the two variants are strictly phonetic. In Brazilian Portuguese, vowels are generally more open and clearly articulated. In Continental Portuguese, unstressed vowels (such as the final "o") tend to be more reduced, shortened, or "swallowed." Additionally, while the "t" is dental in both, the rhythmic cadence of the word within a sentence differs significantly due to the way Brazilians tend to preserve vowel sounds and the way Portuguese people tend to reduce them.

Brazilian Portuguese Examples

1. "O futuro é incerto." (The future is uncertain.)
2. "Eu estou pensando no meu futuro." (I am thinking about my future.)
3. "O nosso futuro depende de nós." (Our future depends on us.)
4. "Ele quer garantir um futuro melhor para os filhos." (He wants to ensure a better future for his children.)
5. "Não se preocupe com o futuro agora." (Don't worry about the future right now.)

Continental Portuguese Examples

1. "O futuro é incerto." (The future is uncertain.)
2. "Estou a pensar no meu futuro." (I am thinking about my future.)
3. "O nosso futuro depende de nós." (Our future depends on us.)
4. "Ele quer garantir um futuro melhor para os filhos." (He wants to ensure a better future for his children.)
5. "Não te preocupes com o futuro agora." (Don't worry about the future right now.)